Answer:
<h3>The 5th term is 30</h3>
Step-by-step explanation:
Given the formula
f(n) = n² + 5
where n is the number of terms
So from the question we were told to find the 5th term that's
n = 5
In order to find the 5th term substitute the value of n that's 5 into the rule
We have
f(5) = 5² + 5
= 25 + 5
= 30
<h3>f(5) = 30</h3>
So the 5th term of the sequence in the given rule is 30
Hope this helps you
Answer: 
Step-by-step explanation:
For this exercise you need to apply the Pythagorean Theorem. This is:

Where "h" is the hypotenuse of the Right triangle and "l" and "m" are the legs.
In this case, you can identify that:

Knowing these values, you can substitute them into
:

Now you must solve for "c":

Evaluating, you get:

To simplify the result:
- Descompose 32 into its prime factors:

- By the Product of powers property, you know that:

- Make the substitution:

- Finally, knowing that
, you get:

Answer:
(x-2)(x^2 +2x +4)/x
Step-by-step explanation:
X minus two into X squared plus 2X plus 4 whole by X(this should be the right answer)